1141500320 has 192 divisors, whose sum is σ = 2938874400. Its totient is φ = 418037760.

The previous prime is 1141500313. The next prime is 1141500329. The reversal of 1141500320 is 230051411.

It can be written as a sum of positive squares in 16 ways, for example, as 142181776 + 999318544 = 11924^2 + 31612^2 .

It is not an unprimeable number, because it can be changed into a prime (1141500329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10472426 + ... + 10472534.

Almost surely, 2^1141500320 is an apocalyptic number.

1141500320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469437200).

1141500320 is an abundant number, since it is smaller than the sum of its proper divisors (1797374080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1141500320 is a wasteful number, since it uses less digits than its factorization.

1141500320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1141500320 is about 33786.0965487284. The cubic root of 1141500320 is about 1045.1020008339.

Adding to 1141500320 its reverse (230051411), we get a palindrome (1371551731).

The spelling of 1141500320 in words is "one billion, one hundred forty-one million, five hundred thousand, three hundred twenty".